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math.AP2011★ 46 cited
Regularity of sets with quasiminimal boundary surfaces in metric spaces
Juha Kinnunen, Riikka Korte, Andrew Lorent +1
This paper studies regularity of perimiter quasiminimizing sets in metric measure spaces with a doubling measure and a Poincare inequality. The main result shows that the measure t…
math.CA2011
Comparisons of relative BV-capacities and Sobolev capacity in metric spaces
Heikki Hakkarainen, Nageswari Shanmugalingam
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacity in a complete metric space equipped with a doubling measure and supporting a w…